Measuring the Second Chern Number from Nonadiabatic Effects

Kolodrubetz, Michael

doi:10.1103/PhysRevLett.117.015301

Title: Measuring the Second Chern Number from Nonadiabatic Effects

Journal Article · Thu Jun 30 00:00:00 EDT 2016 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.117.015301· OSTI ID:1259984

Kolodrubetz, Michael

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Sponsoring Organization:: USDOE

Grant/Contract Number:: AFOSR FA9550-13-1-0039; DEAC02-05CH11231

OSTI ID:: 1259984

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Vol. 117 Journal Issue: 1; ISSN 0031-9007

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 15 works

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References (37)

Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms Aidelsburger, M.; Lohse, M.; Schweizer, C. Nature Physics, Vol. 11, Issue 2 https://doi.org/10.1038/nphys3171	journal	December 2014
On the determination of Born–Oppenheimer nuclear motion wave functions including complications due to conical intersections and identical nuclei Mead, C. Alden; Truhlar, Donald G. The Journal of Chemical Physics, Vol. 70, Issue 5 https://doi.org/10.1063/1.437734	journal	March 1979
Synthetic Spin-Orbit Coupling in an Optical Lattice Clock Wall, Michael L.; Koller, Andrew P.; Li, Shuming Physical Review Letters, Vol. 116, Issue 3 https://doi.org/10.1103/PhysRevLett.116.035301	journal	January 2016
New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance Klitzing, K. v.; Dorda, G.; Pepper, M. Physical Review Letters, Vol. 45, Issue 6 https://doi.org/10.1103/PhysRevLett.45.494	journal	August 1980
Quantized Hall Conductance in a Two-Dimensional Periodic Potential Thouless, D. J.; Kohmoto, M.; Nightingale, M. P. Physical Review Letters, Vol. 49, Issue 6 https://doi.org/10.1103/PhysRevLett.49.405	journal	August 1982
Adiabatic theorem for quantum systems with spectral degeneracy Rigolin, Gustavo; Ortiz, Gerardo Physical Review A, Vol. 85, Issue 6 https://doi.org/10.1103/PhysRevA.85.062111	journal	June 2012
Dynamical quantum Hall effect in the parameter space Gritsev, V.; Polkovnikov, A. Proceedings of the National Academy of Sciences, Vol. 109, Issue 17 https://doi.org/10.1073/pnas.1116693109	journal	April 2012
Topological insulators with inversion symmetry Fu, Liang; Kane, C. L. Physical Review B, Vol. 76, Issue 4 https://doi.org/10.1103/PhysRevB.76.045302	journal	July 2007
Observation of topological transitions in interacting quantum circuits Roushan, P.; Neill, C.; Chen, Yu Nature, Vol. 515, Issue 7526 https://doi.org/10.1038/nature13891	journal	November 2014
$Z_{2}$ Topological Order and the Quantum Spin Hall Effect Kane, C. L.; Mele, E. J. Physical Review Letters, Vol. 95, Issue 14, Article No. 146802 https://doi.org/10.1103/PhysRevLett.95.146802	journal	September 2005
Appearance of Gauge Structure in Simple Dynamical Systems Wilczek, Frank; Zee, A. Physical Review Letters, Vol. 52, Issue 24 https://doi.org/10.1103/PhysRevLett.52.2111	journal	June 1984
Quantum simulation of frustrated Ising spins with trapped ions Kim, K.; Chang, M. -S.; Korenblit, S. Nature, Vol. 465, Issue 7298 https://doi.org/10.1038/nature09071	journal	June 2010
Four-Dimensional Quantum Hall Effect in a Two-Dimensional Quasicrystal Kraus, Yaacov E.; Ringel, Zohar; Zilberberg, Oded Physical Review Letters, Vol. 111, Issue 22 https://doi.org/10.1103/PhysRevLett.111.226401	journal	November 2013
Quantized Hall conductance as a topological invariant Niu, Qian; Thouless, D. J.; Wu, Yong-Shi Physical Review B, Vol. 31, Issue 6 https://doi.org/10.1103/PhysRevB.31.3372	journal	March 1985
Measuring a Topological Transition in an Artificial Spin- $1 / 2$ System Schroer, M. D.; Kolodrubetz, M. H.; Kindel, W. F. Physical Review Letters, Vol. 113, Issue 5 https://doi.org/10.1103/PhysRevLett.113.050402	journal	July 2014
Quantum Logic Gates for Coupled Superconducting Phase Qubits Strauch, Frederick W.; Johnson, Philip R.; Dragt, Alex J. Physical Review Letters, Vol. 91, Issue 16 https://doi.org/10.1103/PhysRevLett.91.167005	journal	October 2003
Beyond the quantum adiabatic approximation: Adiabatic perturbation theory Rigolin, Gustavo; Ortiz, Gerardo; Ponce, Victor Hugo Physical Review A, Vol. 78, Issue 5 https://doi.org/10.1103/PhysRevA.78.052508	journal	November 2008
Quantal Phase Factors Accompanying Adiabatic Changes Berry, M. V. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 392, Issue 1802 https://doi.org/10.1098/rspa.1984.0023	journal	March 1984
Coherent Dynamics of Coupled Electron and Nuclear Spin Qubits in Diamond Childress, L.; Gurudev Dutt, M. V.; Taylor, J. M. Science, Vol. 314, Issue 5797 https://doi.org/10.1126/science.1131871	journal	October 2006
Magnetoelectric Polarizability and Axion Electrodynamics in Crystalline Insulators Essin, Andrew M.; Moore, Joel E.; Vanderbilt, David Physical Review Letters, Vol. 102, Issue 14 https://doi.org/10.1103/PhysRevLett.102.146805	journal	April 2009
Chern numbers, quaternions, and Berry's phases in Fermi systems Avron, J. E.; Sadun, L.; Segert, J. Communications in Mathematical Physics, Vol. 124, Issue 4 https://doi.org/10.1007/BF01218452	journal	December 1989
Topological Insulators in Three Dimensions Fu, Liang; Kane, C. L.; Mele, E. J. Physical Review Letters, Vol. 98, Issue 10, Article No. 106803 https://doi.org/10.1103/PhysRevLett.98.106803	journal	March 2007
Generalization of Dirac’s monopole to SU ₂ gauge fields Yang, Chen Ning Journal of Mathematical Physics, Vol. 19, Issue 1 https://doi.org/10.1063/1.523506	journal	January 1978
Four-Dimensional Quantum Hall Effect with Ultracold Atoms Price, H. M.; Zilberberg, O.; Ozawa, T. Physical Review Letters, Vol. 115, Issue 19 https://doi.org/10.1103/PhysRevLett.115.195303	journal	November 2015
Observation of chiral edge states with neutral fermions in synthetic Hall ribbons Mancini, M.; Pagano, G.; Cappellini, G. Science, Vol. 349, Issue 6255 https://doi.org/10.1126/science.aaa8736	journal	September 2015
Quantised adiabatic charge transport in the presence of substrate disorder and many-body interaction Niu, Q.; Thouless, D. J. Journal of Physics A: Mathematical and General, Vol. 17, Issue 12 https://doi.org/10.1088/0305-4470/17/12/016	journal	August 1984
A Four-Dimensional Generalization of the Quantum Hall Effect Zhang, S. -C. Science, Vol. 294, Issue 5543 https://doi.org/10.1126/science.294.5543.823	journal	October 2001
Transport properties of nonequilibrium systems under the application of light: Photoinduced quantum Hall insulators without Landau levels Kitagawa, Takuya; Oka, Takashi; Brataas, Arne Physical Review B, Vol. 84, Issue 23 https://doi.org/10.1103/PhysRevB.84.235108	journal	December 2011
Adiabatic Perturbation Theory and Geometric Phases for Degenerate Systems Rigolin, Gustavo; Ortiz, Gerardo Physical Review Letters, Vol. 104, Issue 17 https://doi.org/10.1103/PhysRevLett.104.170406	journal	April 2010
Charge-insensitive qubit design derived from the Cooper pair box Koch, Jens; Yu, Terri M.; Gambetta, Jay Physical Review A, Vol. 76, Issue 4 https://doi.org/10.1103/PhysRevA.76.042319	journal	October 2007
Topological Invariants in Fermi Systems with Time-Reversal Invariance Avron, J. E.; Sadun, L.; Segert, J. Physical Review Letters, Vol. 61, Issue 12 https://doi.org/10.1103/PhysRevLett.61.1329	journal	September 1988
Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects Sundaram, Ganesh; Niu, Qian Physical Review B, Vol. 59, Issue 23 https://doi.org/10.1103/PhysRevB.59.14915	journal	June 1999
Visualizing edge states with an atomic Bose gas in the quantum Hall regime Stuhl, B. K.; Lu, H. - I.; Aycock, L. M. Science, Vol. 349, Issue 6255 https://doi.org/10.1126/science.aaa8515	journal	September 2015
Realization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices Aidelsburger, M.; Atala, M.; Lohse, M. Physical Review Letters, Vol. 111, Issue 18 https://doi.org/10.1103/PhysRevLett.111.185301	journal	October 2013
Beweis des Adiabatensatzes Born, M.; Fock, V. Zeitschrift f�r Physik, Vol. 51, Issue 3-4 https://doi.org/10.1007/BF01343193	journal	March 1928
Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices Miyake, Hirokazu; Siviloglou, Georgios A.; Kennedy, Colin J. Physical Review Letters, Vol. 111, Issue 18 https://doi.org/10.1103/PhysRevLett.111.185302	journal	October 2013
Synthetic dimensions in integrated photonics: From optical isolation to four-dimensional quantum Hall physics Ozawa, Tomoki; Price, Hannah M.; Goldman, Nathan Physical Review A, Vol. 93, Issue 4 https://doi.org/10.1103/PhysRevA.93.043827	journal	April 2016

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